Two Dimensional Incompressible Ideal Flow Around a Thin Obstacle Tending to a Curve
Analysis of PDEs
2015-05-13 v2 Mathematical Physics
math.MP
Abstract
In this work we study the asymptotic behavior of solutions of the incompressible two-dimensional Euler equations in the exterior of a single smooth obstacle when the obstacle becomes very thin tending to a curve. We extend results by Iftimie, Lopes Filho and Nussenzveig Lopes, obtained in the context of an obstacle tending to a point, see [Comm. PDE, {\bf 28} (2003), 349-379].
Cite
@article{arxiv.0804.2879,
title = {Two Dimensional Incompressible Ideal Flow Around a Thin Obstacle Tending to a Curve},
author = {Christophe Lacave},
journal= {arXiv preprint arXiv:0804.2879},
year = {2015}
}